Concept

Covering groups of the alternating and symmetric groups

Publications associées (6)

Local invertibility and sensitivity of atomic structure-feature mappings

Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety o ...

2021

Unsplittable Coverings in the Plane

János Pach, Doemoetoer Palvoelgyi

A system of sets forms an m-fold covering of a set X if every point of X belongs to at least m of its members. A 1-fold covering is called a covering. The problem of splitting multiple coverings into several coverings was motivated by classical density est ...

Springer-Verlag Berlin2016

Unsplittable coverings in the plane

János Pach, Doemoetoer Palvoelgyi

Academic Press Inc Elsevier Science2016

Quasi-hereditary property of double Burnside algebras

Baptiste Thierry Pierre Rognerud

In this short note, we investigate some consequences of the vanishing of simple biset functors. As a corollary, if there is no non-trivial vanishing of simple biset functors (e.g., if the group G is commutative), then we show that kB(G,G) is a quasi-heredi ...

Elsevier2015

Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups

Donna Testerman, Martin W. Liebeck

For G a simple algebraic group over an algebraically closed field of characteristic 0, we determine the irreducible representations ρ:G→I(V), where I(V) denotes one of the classical groups SL(V), Sp(V), SO(V), such that ρ sends some distinguished unipotent ...

2015

Irreducibility of disconnected subgroups of exceptional algebraic groups

Soumaïa Nadia Ghandour

This dissertation is concerned with the study of irreducible embeddings of simple algebraic groups of exceptional type. It is motivated by the role of such embeddings in the study of positive dimensional closed subgroups of classical algebraic groups. The ...

EPFL2008